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634642380 = 2232529121579
BaseRepresentation
bin100101110100111…
…101111111001100
31122020012011200100
4211310331333030
52244432024010
6142550331100
721504241221
oct4564757714
91566164610
10634642380
112a626a239
12158659a90
13a1637948
1460403948
153aab22c0
hex25d3dfcc

634642380 has 72 divisors (see below), whose sum is σ = 1991480400. Its totient is φ = 163400832.

The previous prime is 634642367. The next prime is 634642391. The reversal of 634642380 is 83246436.

It is a happy number.

634642380 is a `hidden beast` number, since 6 + 3 + 4 + 642 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55570 + ... + 66009.

It is an arithmetic number, because the mean of its divisors is an integer number (27659450).

Almost surely, 2634642380 is an apocalyptic number.

634642380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634642380 is an abundant number, since it is smaller than the sum of its proper divisors (1356838020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634642380 is a wasteful number, since it uses less digits than its factorization.

634642380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121623 (or 121618 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 634642380 is about 25192.1094789619. The cubic root of 634642380 is about 859.3624172791.

The spelling of 634642380 in words is "six hundred thirty-four million, six hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 121579 243158 364737 486316 607895 729474 1094211 1215790 1458948 1823685 2188422 2431580 3525791 3647370 4376844 5471055 7051582 7294740 10577373 10942110 14103164 17628955 21154746 21884220 31732119 35257910 42309492 52886865 63464238 70515820 105773730 126928476 158660595 211547460 317321190 634642380